In [[mathematics]], particularly in [[linear algebra]] and applications, '''matrix analysis''' refers tois the study of [[matrix (mathematics)|matrices]] and their [[abstract algebra]]ic properties. Some particular topics out of many include; operations defined on matrices (such as [[matrix addition]], [[matrix multiplication]] and operations derived from these), functions of matrices (such as [[matrix exponentiation]] and [[matrix logarithm]], and even [[sine]]s and cosines etc. of matrices), <!---[[matrix calculus]] (matrix [[derivative|differentiation]] and [[integral (mathematics)|integration]]), --->and the [[eigenvalue]]s of matrices ([[eigendecomposition of a matrix]], [[eigenvalue perturbation]] theory).